304 citations · 1k across the 38 of their papers we have counts for
11 papers · 1 filter
Matter-wave solitons with a periodic, piecewise-constant nonlinearity
A. S. Rodrigues, P. G. Kevrekidis, Mason A. Porter +3
Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and st…
Dynamical Barrier for the Formation of Solitary Waves in Discrete Lattices
P. G. Kevrekidis, J. A. Espinola-Rocha, Y. Drossinos +1
We consider the problem of the existence of a dynamical barrier of ``mass'' that needs to be excited on a lattice site to lead to the formation and subsequent persistence of locali…
Two-dimensional discrete solitons in rotating lattices
J. Cuevas, B. A. Malomed, P. G. Kevrekidis
We introduce a two-dimensional (2D) discrete nonlinear Schrödinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bos…
On the Emergence of Unstable Modes in an Expanding Domain for Energy-Conserving Wave Equations
K. J. H. Law, P. G. Kevrekidis, D. J. Frantzeskakis +1
Motivated by recent work on instabilities in expanding domains in reaction-diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In parti…
Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials
Z. Rapti, P. G. Kevrekidis, V. V. Konotop +1
In this paper, we study the competition of linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a pert…
Periodic oscillations of dark solitons in parabolic potentials
D. E. Pelinovsky, P. G. Kevrekidis
We reformulate the Gross-Pitaevskii equation with an external parabolic potential as a discrete dynamical system, by using the basis of Hermite functions. We consider small amplitu…